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bettyboop8904
 2 years ago
Can someone please help me with some integral homework before I shoot the crap out of my calculus book pretty please?! Equation in the forum
bettyboop8904
 2 years ago
Can someone please help me with some integral homework before I shoot the crap out of my calculus book pretty please?! Equation in the forum

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bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{}\ln (\sqrt[3]{x})\] That is x to the 3 root

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0it might help to think of the cube root of x as x^(1/3)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0then use the power rule

mathsmind
 2 years ago
Best ResponseYou've already chosen the best response.0ok do u want me to solve it or should i tell u how to do it

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.0ok I got as far to as thinking of x^(1/3) lol

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0now use the rule that integral of x^n = (1/(n+1))*x^(n+1)

mathsmind
 2 years ago
Best ResponseYou've already chosen the best response.0if u solve it i give u medal and if i do so you give me one

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.0so do u mean put 1/3 in front of the ln of stuff and then put it in front of the entire integral? bc that's what I did and it said it was wrong = (

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0there's no ln involved here

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.0ok maybe you should write the whole thing out cuz now you're just confusing me, please, thank you

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0does this rule look familiar dw:1360297226043:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0sry the +C is nearly cut off

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.0no yeah i already know that lol we're in the chapter of integration by parts and there is a ln involved it's in the front of the x^(1/3)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2not to interrupt, but i think the starting point here is \[\frac{1}{3}\int \ln(x)dx\] which you do either by parts or by memory

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.0oh my bad, i didn't see the ln at the very beginning just thought it was cube root of x

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2since \(\ln(x)\) is a very common function, it might be benificial just to memorize \[\int \ln(x)dx=x\ln(x)x\] you can check by differentiation

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.0yes that's what i did. oh damn nvm hahaha i think i get it I keep getting it confused that the derivative of ln is 1/x and we don't know the integral of ln yet so we have to do integration by parts lol

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2your answer is therefore \[\frac{1}{3}\left(x\ln(x)x \right)\]

mathsmind
 2 years ago
Best ResponseYou've already chosen the best response.0you can use taylor series to integrate this easily

bettyboop8904
 2 years ago
Best ResponseYou've already chosen the best response.0you guys were a great help! ty! = )

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.2i would memorize it just like remembering that \[\frac{d}{dx}\sqrt{x}=\frac{1}{2\sqrt{x}}\]so while your fellow classmates are integrating by parts, you just write down the answer

mathsmind
 2 years ago
Best ResponseYou've already chosen the best response.0i won't recommend that method

mathsmind
 2 years ago
Best ResponseYou've already chosen the best response.0what about\[\int\limits \ln e^{^{x ^{2}}}dx\]

mathsmind
 2 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits \ln(x^x)dx\]

mathsmind
 2 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits \ln(x^2+2x+1)dx\]

mathsmind
 2 years ago
Best ResponseYou've already chosen the best response.0so these are 3 examples that can't be used by just memorizing the specific case

mathsmind
 2 years ago
Best ResponseYou've already chosen the best response.0so basically use integration by parts like ur class mates
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